Diagrams

Auxiliary Rectangle for a Fixed-Point Solution

The rectangle, perpendicular feet, and two intersections used in the solution to Crux Mathematicorum Problem 5109.

10 August 2026

Triangle geometry

Methods SVG construction

Rectangle ABCD with M between B and C, N beyond C, perpendicular feet P and Q from B to AM and AN, and line PQ meeting BC at S and line AD at R. — The auxiliary rectangle and lines used in the solution.Select the diagram to enlarge it.

This independently prepared figure records only the auxiliary construction used in the accompanying solution. It does not reproduce the original problem statement.